Physics · WORK, ENERGY AND POWER

The potential energy of a particle of mass \( 1\text{ kg} \) moving along the \( x \)-axis is given by \( V(x) = (x^3 - 6x^2 + 9x + 5)\text{ J} \). If the total mechanical energy of the particle is \( 15\text{ J} \), its maximum speed is:

1. A
   \( 2\sqrt{3}\text{ m s}^{-1} \)
2. B
   \( 2\sqrt{5}\text{ m s}^{-1} \)
3. C
   \( 4\text{ m s}^{-1} \)
4. D
   \( 3\sqrt{2}\text{ m s}^{-1} \)